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1 king can be selected in 4C1 ways
4 other cards can be selected in 48C4 ways
∴ No of card combination out of a 52 cards each combination having exactly one king.
⇒4C1×48C4
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From a deck of 52 cards, 5-card combinations have to be made in such a way that in each selection of 5 cards, there is exactly one king.
In a deck of 52 cards, there are 4 kings.
1 king can be selected out of 4 kings in 4C1 ways.
4 cards out of the remaining 48 cards can be selected in 48C4 ways.
Thus, the required number of 5-card combinations is 4C1 x 48C4
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